Corpus ID: 218719823

On Dru\.zkowski's morphisms of cubic linear type

@article{McKean2020OnDM,
  title={On Dru\.zkowski's morphisms of cubic linear type},
  author={S. McKean},
  journal={arXiv: Commutative Algebra},
  year={2020}
}

S. McKean

Published 2020

Mathematics

arXiv: Commutative Algebra

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We use theorems of Muller-Quade and Steinwandt, Scheja and Storch, and van der Waerden to study Druzkowski's morphisms of cubic linear type with invertible Jacobian. In particular, we compare the degree of such morphisms with the dimensions of various related vector spaces. These comparisons result in an inequality that, if true, would show that morphisms of cubic linear type with invertible Jacobian are injective, finite, and induce an equality of function fields.